Answer:
The work is in the explanation.
Step-by-step explanation:
The sine addition identity is:
.
The sine difference identity is:
.
The cosine addition identity is:
.
The cosine difference identity is:
.
We need to find a way to put some or all of these together to get:
.
So I do notice on the right hand side the 
and the 
.
Let's start there then.
There is a plus sign in between them so let's add those together:
![=[\sin(a+b)]+[\sin(a-b)]](https://tex.z-dn.net/?f=%3D%5B%5Csin%28a%2Bb%29%5D%2B%5B%5Csin%28a-b%29%5D)
![=[\sin(a)\cos(b)+\cos(a)\sin(b)]+[\sin(a)\cos(b)-\cos(a)\sin(b)]](https://tex.z-dn.net/?f=%3D%5B%5Csin%28a%29%5Ccos%28b%29%2B%5Ccos%28a%29%5Csin%28b%29%5D%2B%5B%5Csin%28a%29%5Ccos%28b%29-%5Ccos%28a%29%5Csin%28b%29%5D)
There are two pairs of like terms. I will gather them together so you can see it more clearly:
![=[\sin(a)\cos(b)+\sin(a)\cos(b)]+[\cos(a)\sin(b)-\cos(a)\sin(b)]](https://tex.z-dn.net/?f=%3D%5B%5Csin%28a%29%5Ccos%28b%29%2B%5Csin%28a%29%5Ccos%28b%29%5D%2B%5B%5Ccos%28a%29%5Csin%28b%29-%5Ccos%28a%29%5Csin%28b%29%5D)
So this implies:
Divide both sides by 2:
By the symmetric property we can write:
Answer:(2x + 5)⁵
Step-by-step explanation:I assume you mean the 4th term of the expansion of (2x + 5)⁵. The coefficient can be found from pascal's triangle.
Answer:
8x^2+5y+1
Step-by-step explanation:
1+x^2-3+2y+7x^2+3+3y
Combine like terms
x^2+7x^2+2y+3y+3+1-3
8x^2+5y+1
8/13 = 0.6153
y = cos-1(0.6153)
y = 52.0
I'm not totally sure if this is what you mean or if this is.
y = cos(8/13) = 0.9999 which to the nearest tenth is 1.0
Answer:
The line segment partitioned two-fifths from A to B is (10,6)
Step-by-step explanation:
First point from A to B is (16,8)
than find the difference between A to B i.e B - A
(1,3)-(16,8) = (-15,-5)
To measure the (2/5) difference we will multiply (-15,-5) with (2/5) which is equal to (-6,-2)
Now Add the difference to the first coordinate (point A) gives
Point of division = (16,8)+(-6,-2)
Point of division = (16-6, 8-2)
Point of division = (10,6)
